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Dilations: Segment Proportions and Angle Preservation

Dilations: Segment Proportions and Angle Preservation
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2016-02-11 01:12
TriangleAngleMatrixTransformationGeometric Construction
This example demonstrates the properties of dilations, including the preservation of segment proportions and angles, as well as the parallelism of corresponding lines. By constructing a polygon, performing a dilation, and drawing lines, the basic principles of dilations are illustrated. Suitable for students at the middle school level and above, particularly for learning about similar triangles.

GeoGebra Commands & Parameters

  1. Polygon(B, C, A) → poly1, d, b, c
  2. Dilate(B, k, O) → B'
  3. Dilate(C, k, O) → C'
  4. Dilate(A, k, O) → A'
  5. Polygon(B', C', A') → poly1', d', b', c'
  6. Line(B', B) → a
  7. Line(C', C) → e
  8. Line(A', A) → f